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In this paper, we focus on the separability of classes with the cross-entropy loss function for classification problems by theoretically analyzing the intra-class distance and inter-class distance (i.e. the distance between any two points…

Machine Learning · Computer Science 2019-09-17 Rudrajit Das , Subhasis Chaudhuri

In recent years, the softmax model and its fast approximations have become the de-facto loss functions for deep neural networks when dealing with multi-class prediction. This loss has been extended to language modeling and recommendation,…

Machine Learning · Statistics 2019-09-19 Ugo Tanielian , Flavian Vasile

Despite being the standard loss function to train multi-class neural networks, the log-softmax has two potential limitations. First, it involves computations that scale linearly with the number of output classes, which can restrict the size…

Machine Learning · Computer Science 2016-05-30 Alexandre de Brébisson , Pascal Vincent

In real medical data, training samples typically show long-tailed distributions with multiple labels. Class distribution of the medical data has a long-tailed shape, in which the incidence of different diseases is quite varied, and at the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Wongi Park , Inhyuk Park , Sungeun Kim , Jongbin Ryu

Traditionally artificial neural networks (ANNs) are trained by minimizing the cross-entropy between a provided groundtruth delta distribution (encoded as one-hot vector) and the ANN's predictive softmax distribution. It seems, however,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Pooran Singh Negi , David chan , Mohammad Mahoor

Recently, multi-view and multi-label classification have become significant domains for comprehensive data analysis and exploration. However, incompleteness both in views and labels is still a real-world scenario for multi-view multi-label…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Bingyan Nie , Wulin Xie , Jiang Long , Xiaohuan Lu

Self-training is an important technique for solving semi-supervised learning problems. It leverages unlabeled data by generating pseudo-labels and combining them with a limited labeled dataset for training. The effectiveness of…

Machine Learning · Computer Science 2023-11-06 Banghua Zhu , Mingyu Ding , Philip Jacobson , Ming Wu , Wei Zhan , Michael Jordan , Jiantao Jiao

This paper describes one objective function for learning semantically coherent feature embeddings in multi-output classification problems, i.e., when the response variables have dimension higher than one. In particular, we consider the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Hugo Proença , Ehsan Yaghoubi , Pendar Alirezazadeh

The goal in extreme multi-label classification (XMC) is to tag an instance with a small subset of relevant labels from an extremely large set of possible labels. In addition to the computational burden arising from large number of training…

Machine Learning · Statistics 2020-07-02 Erik Schultheis , Mohammadreza Qaraei , Priyanshu Gupta , Rohit Babbar

Deep segmentation neural networks require large training datasets with pixel-wise segmentations, which are expensive to obtain in practice. Mixed supervision could mitigate this difficulty, with a small fraction of the data containing…

Computer Vision and Pattern Recognition · Computer Science 2020-12-16 Jose Dolz , Christian Desrosiers , Ismail Ben Ayed

Deep-learning has proved in recent years to be a powerful tool for image analysis and is now widely used to segment both 2D and 3D medical images. Deep-learning segmentation frameworks rely not only on the choice of network architecture but…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Carole H Sudre , Wenqi Li , Tom Vercauteren , Sébastien Ourselin , M. Jorge Cardoso

In this paper, we propose a fuzzy adaptive loss function for enhancing deep learning performance in classification tasks. Specifically, we redefine the cross-entropy loss to effectively address class-level noise conditions, including the…

Machine Learning · Computer Science 2023-10-13 Sebastián Maldonado , Carla Vairetti , Katherine Jara , Miguel Carrasco , Julio López

Deep learning has become the method of choice in many application domains of machine learning in recent years, especially for multi-class classification tasks. The most common loss function used in this context is the cross-entropy loss,…

Machine Learning · Computer Science 2017-04-21 Yehezkel S. Resheff , Amit Mandelbaum , Daphna Weinshall

Pseudo-labeling has emerged as a popular and effective approach for utilizing unlabeled data. However, in the context of semi-supervised multi-label learning (SSMLL), conventional pseudo-labeling methods encounter difficulties when dealing…

Machine Learning · Computer Science 2023-05-23 Ming-Kun Xie , Jia-Hao Xiao , Hao-Zhe Liu , Gang Niu , Masashi Sugiyama , Sheng-Jun Huang

We empirically investigate the (negative) expected accuracy as an alternative loss function to cross entropy (negative log likelihood) for classification tasks. Coupled with softmax activation, it has small derivatives over most of its…

Machine Learning · Computer Science 2019-05-03 Ozan İrsoy

Nowadays, deep learning is the standard approach for a wide range of problems, including biometrics, such as face recognition and speech recognition, etc. Biometric problems often use deep learning models to extract features from images,…

Computer Vision and Pattern Recognition · Computer Science 2022-02-14 Pedro Silva , Gladston Moreira , Vander Freitas , Rodrigo Silva , David Menotti , Eduardo Luz

List-wise learning to rank methods are considered to be the state-of-the-art. One of the major problems with these methods is that the ambiguous nature of relevance labels in learning to rank data is ignored. Ambiguity of relevance labels…

Information Retrieval · Computer Science 2017-07-26 Rolf Jagerman , Julia Kiseleva , Maarten de Rijke

Mutual information is widely applied to learn latent representations of observations, whilst its implication in classification neural networks remain to be better explained. We show that optimising the parameters of classification neural…

Machine Learning · Computer Science 2020-09-18 Zhenyue Qin , Dongwoo Kim , Tom Gedeon

We propose the Linearly Adaptive Cross Entropy Loss function. This is a novel measure derived from the information theory. In comparison to the standard cross entropy loss function, the proposed one has an additional term that depends on…

Machine Learning · Computer Science 2025-07-16 Jae Wan Shim

In a multi-class classification problem, it is standard to model the output of a neural network as a categorical distribution conditioned on the inputs. The output must therefore be positive and sum to one, which is traditionally enforced…

Neural and Evolutionary Computing · Computer Science 2016-03-01 Alexandre de Brébisson , Pascal Vincent